Log Log scaling for the DensityPlot

Consider some function f[x,y] where 10^-5 < x < 1 and 10^-8 < y < 10^6. As for example,

f[x_,y_]=Exp[-10^5. x^5 y]x^6 

I want to make a density plot in the logarithmic scale (similar to LogLogPlot). The simplest option is to make


However, in this case, axes will show log[x], log[y] instead of x,y.

Could you please tell me how to make this thing properly?